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102131442002142 = 23272335242043479
BaseRepresentation
bin10111001110001101010100…
…010100100010100011011110
3111101121200002210110220221100
4113032031110110202203132
5101341310143123032032
61001114311534013530
730340516225214460
oct2716152424424336
9441550083426840
10102131442002142
112a5a67794a36a3
12b5559113472a6
1344cac52248537
141b3128c494130
15bc1a1700097c
hex5ce3545228de

102131442002142 has 48 divisors (see below), whose sum is σ = 263892421578240. Its totient is φ = 27911698434576.

The previous prime is 102131442002113. The next prime is 102131442002189. The reversal of 102131442002142 is 241200244131201.

102131442002142 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 1 + 442 + 0 + 0 + 214 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17621018842 + ... + 17621024637.

It is an arithmetic number, because the mean of its divisors is an integer number (5497758782880).

Almost surely, 2102131442002142 is an apocalyptic number.

102131442002142 is an abundant number, since it is smaller than the sum of its proper divisors (161760979576098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102131442002142 is a wasteful number, since it uses less digits than its factorization.

102131442002142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35242043517 (or 35242043514 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102131442002142 its reverse (241200244131201), we get a palindrome (343331686133343).

The spelling of 102131442002142 in words is "one hundred two trillion, one hundred thirty-one billion, four hundred forty-two million, two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 35242043479 70484086958 105726130437 211452260874 246694304353 317178391311 493388608706 634356782622 740082913059 810567000017 1480165826118 1621134000034 2220248739177 2431701000051 4440497478354 4863402000102 5673969000119 7295103000153 11347938000238 14590206000306 17021907000357 34043814000714 51065721001071 102131442002142